You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
8 - 5 that’s the answer jfosjfksjdjsjdjs
Answer:
0.946 liters
Step-by-step explanation:
since the fourth decimal place is below 5, you would not round up the thousandths. also, the thousandths is the third decimal place (tenths, hundredths, thousandths).
Answer:
a=16400 feet
Step-by-step explanation:
t = -0.0035 a +g
-17.40 = -0.0035 a+40
-17.40-40=-0.0035a+40-40
-57.40=-0.0035a
a = -57.40/-0.0035
a=16400 feet
Answer:
<em>y = -3x + 2</em>
Step-by-step explanation:
From the graph, you see the line intersects the y-axis at y = 2, so the y-intercept is b = 2.
Now we need the slope. We need to find the number of vertical and horizontal units to go from one point to the other. Starting at point (-1, 5), go down 6 units and then go right 2 units. The change in y is -6. The change in x is 2. slope = m = (change in y)/(change in x) = -6/2 = -3.
m = -3; b = 2
y = mx + b
y = -3x + 2
